New quasi-symmetric designs constructed using mutually orthogonal Latin squares and Hadamard matrices

DOI10.1007/S10623-006-9009-6zbMath1200.05033OpenAlexW2061269538MaRDI QIDQ851788

Gary McGuire, Harold N. Ward, Carl Bracken

Publication date: 22 November 2006

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-006-9009-6

zbMATH Keywords

Hadamard matrixGrey-Rankin boundBinary codeMutually orthogonal Latin squaresQuasi-symmetric

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Bounds on codes (94B65) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (10)

New classes of self-complementary codes and quasi-symmetric designs ⋮ The characterization of binary constant weight codes meeting the bound of Fu and Shen ⋮ Duals of quasi-3 designs are not necessarily quasi-3 ⋮ Non-embeddable quasi-residual quasi-symmetric designs ⋮ Hadamard equiangular tight frames ⋮ Equiangular tight frames from group divisible designs ⋮ Quasi-symmetric \(2\)-\((28,12,11)\) designs with an automorphism of order \(5\) ⋮ On quasi-symmetric designs with intersection difference three ⋮ Pseudo quasi-3 designs and their applications to coding theory ⋮ New quasi-symmetric designs by the Kramer-Mesner method

Cites Work

• Quasi-symmetric designs and codes meeting the Grey-Rankin bound
• Orthomorphisms of Groups and Orthogonal Latin Squares. I
• Unnamed Item

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